To write the ratio of 20 inches to 3 feet using fractional notation, we first need to convert 3 feet into inches.
Since 1 foot = 12 inches, we have: 3 feet = 3 × 12 inches = 36 inches.
Now we can write the ratio of 20 inches to 36 inches as a fraction:
\[ \frac{20}{36} \]
Next, we simplify this fraction. Both the numerator and the denominator can be divided by 4:
\[ \frac{20 \div 4}{36 \div 4} = \frac{5}{9} \]
Thus, the simplified fraction of the ratio 20 inches to 3 feet is:
\[ \frac{5}{9} \]
The correct response is:
5/9